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Finding the Third Proportional to 659,009 and 1,427,914

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Solution

The third proportional to 659,009 and 1,427,914 is: 3,093,946.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,009 : 1,427,914 = 1,427,914 : x
  2. Step 2: Convert to fraction form
    659,009/1,427,914 = 1,427,914/x
  3. Step 3: Cross multiply
    659,009x = 1,427,914 × 1,427,914
  4. Step 4: Simplify right side
    659,009x = 2,038,938,391,396
  5. Step 5: Solve for x
    x = 2,038,938,391,396/659,009
  6. Step 6: Final answer
    x = 3,093,946.20

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.